a: \(\dfrac{1}{3}:x=2\dfrac{2}{3}:\left(-0,3\right)\)
=>\(\dfrac{1}{3}:x=\dfrac{8}{3}:\dfrac{-3}{10}=-\dfrac{80}{9}\)
=>\(x=-\dfrac{1}{3}:\dfrac{80}{9}=-\dfrac{1}{3}\cdot\dfrac{9}{80}=-\dfrac{3}{80}\)
b: \(3^{2x}-2\cdot3^5=3^5\)
=>\(3^{2x}=3^5+2\cdot3^5=3\cdot3^5=3^6\)
=>2x=6
=>x=3
c: \(2x-\sqrt{1,69}=\sqrt{1,21}\)
=>2x-1,3=1,1
=>2x=1,3+1,1=2,4
=>x=2,4/2=1,2
d: \(\left|x+\dfrac{1}{3}\right|\cdot\left(x^2+1\right)=0\)
mà \(x^2+1>=1\forall x\)
nên \(\left|x+\dfrac{1}{3}\right|=0\)
=>\(x+\dfrac{1}{3}=0\)
=>\(x=-\dfrac{1}{3}\)